Question

In the following Venn diagram circles $A$ and $B$ represent two events:

The probability of the union of shaded region will be

• A. $P ( A )+ P ( B )-2 P ( A \cap B )$
• B. $P ( A )+ P ( B )- P ( A \cap B )$
• C. $P ( A )+ P ( B )$
• D. $2 P ( A )+2 P ( B )- P ( A \cap B )$

Answer 1

Answer: (B)

From the given Venn diagram the shadow region is
$n ( A )+ n ( B )- n ( A \cap B )$
Probability of the union of the shaded region is
$P ( A )+ P ( B )- P ( A \cap B )$